Contents

Rules

Cells with two adjacent cells in a straight line (as in blinker) will die, and

Cells with four adjacent cells (as in the dense phase of beacon) will survive.

The two differing transitions, illustrated:

000 110
111 -> 0 110 -> 1
000 001

Patterns

Although many patterns from Conway Life still function identically in tlife, some do not; for example, the blinker dies in tlife, and the beacon evolves into an 8-cell still life. Conversely, some patterns from tlife work in normal Life, but some do not.

Alongside these, other elementary spaceships have been discovered. One such spaceship, which travels at c/2 orthogonal (period 4), is dubbed the disemiMWSS, referencing the fact it looks like two middleweight spaceships interacting with each other; there is also a skewed variant. There is also another c/2 orthogonal spaceship that evolves from a phase of the queen bee, which has several minor variants. Other important spaceships include chains of interacting Ts, a small 2c/6 orthogonal ship, and a small-to-medium c/4 orthogonal ship. There exist eaters for the glider, T, and ant, as well as for the queen bee ship and its variants.

In all, c/2, 2c/5, 2c/4, 4c/8, c/3, 2c/6, c/4, and c/5 orthogonal, as well as c/4 diagonal, spaceships are known to exist, discounting higher-period c/2 technology.

The only named spaceship other than the glider known to function in both CGOL and tlife is the crab; however, several other, unnamed c/4 diagonal spaceships work in both rules. All known spaceships that function in both B3/S23 and B3/S2-i34q travel at a velocity of (1,1)c/4.

"Gate Kid" (named after its apgcode), or "honeyloaf p5" (its original name), a period 5 oscillator which works in both tlife and tdrylife.Catagolue: hereCatagolue: here

Oscillators

There is a common statorless rotating period-160 oscillator that often evolves from (what would, in normal Life, be) a loaf predecessor or a honey farm predecessor. Multiple copies of this oscillator can be combined to form interesting patterns such as guns, higher-period oscillators, and glider or T duplicators. A single copy can also reflect a glider or T, or convert it into the other. There is also a somewhat similar period 33, several p20s based on a failed replicator, a p14 shuttle, small rule-specific period 3, 4, 5, 6, and 8 oscillators, and an infinitely extensible family of oscillators consisting of replicating signals traveling up and down two diagonal lines of connected blocks. Recently, p4 sparkers have been found, allowing p16 T-hassling oscillators. Combinations of lower-period oscillators may lead to p12s and p15s; however, no examples have been explicitly constructed.

Infinite growth

As mentioned above, multiple copies of the period 160 oscillator can interact to form guns. There exist guns for the glider and the T consisting of only two copies, as well as two double-barreled T guns. There is also a gun for the ant consisting of 3 interacting p160 oscillators. By combining multiple basic guns, larger guns have been formed for the c/2, 2c/6, disemiMWSS and skewed variants, as well as pairs of interacting T's. A period 231 T gun is also known, using an over-unity reaction supported by reflectors formed from the p33 oscillator.

Several puffers are known, all traveling at c/2 orthogonal and using one of two known engines: one or more B-heptominoes escorted by at least two disemiMWSSs, or a Schick engine-like tagalong to a pair of disemiMWSSs. These engines can be perturbed by still more disemiMWSSs to form rakes for the glider and the T, as well as presumably for other spaceships.

There is a breeder consisting of four Schick puffer-based glider rakes repeatedly synthesizing double-barreled T guns.

No wickstretchers or spacefillers are known.

Similar rules

Various rules similar to tlife have been constructed.

B36/S2-i34q

This rule is commonly known as "tHighLife" or "Thigh Life", due to it sharing a B6 transition with HighLife.

Very interestingly, it has a simple orthogonal replicator which replicates at 4c/11 orthogonal, very similarly to HighLife's own replicator. 'AbphzTa' used this to construct a 4c/11 orthogonal spaceship.

The replicator.

The 4c/11 spaceship.

B37/S2-i34q

This rule is commonly known as "tdrylife", taking its B7 from DryLife.

Unlike DryLife, it is not explosive, and has a lot of very interesting patterns. The only two relatively common oscillators are the cap and the toad, neither with a usable spark, resulting in no guns having been discovered so far (as opposed to the well-known rakes).

Many interesting spaceships have been constructed in this rule. For example, there is a naturally occurring 2c/23 orthogonal spaceship involving the T trying to escape a pre-beehive. AbphzTa used this spaceship to create other patterns moving at this speed. A T forward rake was also built using known reflections for gliders and Ts when colliding with the 2c/23 spaceship.

The 2/c23 ship.

A c/2 orthogonal spaceship based on 2 B-heptominoes has been seen to occur naturally.

Most interestingly, there is a (2,6)c/21 (slope 3) shippuffer. This can be stabilised into various interesting patterns, such as a two-engine knightship. Also, Alexey Nigin has created a quadratic growth pattern which uses oblique spaceships to create pond puffers, based on a reaction discovered by Rhombic. A much slower quadratic growth pattern was discovered later by Rhombic, based on the synthesis of pond puffers with a T and a pond.